12665251200 has 768 divisors, whose sum is σ = 50571763200. Its totient is φ = 2724986880.

The previous prime is 12665251199. The next prime is 12665251213. The reversal of 12665251200 is 215256621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130569552 + ... + 130569648.

It is an arithmetic number, because the mean of its divisors is an integer number (65848650).

Almost surely, 2^12665251200 is an apocalyptic number.

12665251200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12665251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25285881600).

12665251200 is an abundant number, since it is smaller than the sum of its proper divisors (37906512000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12665251200 is a wasteful number, since it uses less digits than its factorization.

12665251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 12665251200 in words is "twelve billion, six hundred sixty-five million, two hundred fifty-one thousand, two hundred".